Yes. Ripe bananas are allowed in Jain diet for laypeople (both Shvetambar and Digambar), because they are fruits from a non-root plant.

How to eat them with minimum hiṃsā and proper niyam:

• Eat only in daylight (avoid after sunset).
• Wash well; peel and eat fresh. Avoid overripe, spotted, fermented, or insect‑infested bananas.
• Do not mix with honey (honey is completely prohibited in Jain Dharma).
• If you have taken specific vows, follow them: during Upavās, Aayambil, or strict Paakī/Posadh observances, fruits like bananas are generally not to be taken unless your pachchakhan permits.
• Prefer seasonal, clean produce; avoid waste.

Notes on traditions:

• Shvetambar and Digambar lay followers: permitted with the above care.
• Sādhus/Sādhvīs follow much stricter aahar rules (no storage, specific receiving methods), so practice differs for ascetics.